On Unparsed Substitution Ciphers
This post discusses the problem of computer-assisted decryption of un-parsed substitution ciphers. Sample Mathematica code is linked within.
Category Archives: math history
The Forgotten Method of Prosthaphaeresis
In this post, I discuss the method of prosthaphaeresis, a proto-logarithm that enabled celestial navigation for the quarter-century predating the introduction of Napier’s logarithm.
Integrating Secant
The integral formula for secant is often introduced in a very artificial way. In this post, I look at the history of this integral and give several derivations.
Notes on Riemann Sums
For many calculus students, Riemann sums are those annoying things that show up in the derivation of the arc length formula.
In truth, these handy sums have done so much more. In this post, I’ll give some examples of Riemann sums dating from before the birth of calculus and some applications of Riemann sums that are still used today.
Calendars for the Modern Age
Our modern calendar, the Gregorian calendar, introduced several changes to the Julian calendar, including the introduction of a three-step algorithm for determining leap years.
But just how accurate is the Gregorian model? Can centuries of mathematics and astronomy lead us to a more accurate calendar?
